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Finding the Fourth Proportional to 41.58, 57.42 and 27.06

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Solution

The fourth proportional to 41.58, 57.42 and 27.06 is: 37.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    41.58 : 57.42 = 27.06 : x
  2. Step 2: Convert to fraction form
    41.58/57.42 = 27.06/x
  3. Step 3: Cross multiply
    41.58x = 57.42 × 27.06
  4. Step 4: Simplify right side
    41.58x = 1,553.79
  5. Step 5: Solve for x
    x = 1,553.79/41.58
  6. Step 6: Final answer
    x = 37.37

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.